Question

In: Statistics and Probability

In a recent year, Delaware had the highest per capita annual income with $51,803. If the...

In a recent year, Delaware had the highest per capita annual income with $51,803. If the standard deviation is $4850, answer the following questions: Assume that the sample is taken from a large population what is the mean and standard deviation of the sampling distribution of 16 individuals? Round calculations to four places.

A. 51,803 and 4,850

B. 51,803 and 303.1250

C. 3,237.69 and 4,850

D. 51,.803 and 1,212.5

Solutions

Expert Solution

Solution :

Given that ,

mean = = $51,803

standard deviation = = 4850

n = 16

sample distribution of sample mean is ,

=

= 51803

sampling distribution of standard deviation

=  / n = 4850 / 16=

= 1,212.5

D. 51,.803 and 1,212.5


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